My research lies at the intersection of computational electromagnetics, numerical analysis, inverse problems, uncertainty quantification, PDE-constrained optimization, and scientific machine learning. I am interested in developing structure-preserving numerical methods and machine learning methods for ODEs, PDEs, SDEs, DAEs, and coupled dynamical systems, with a focus on random and dispersive electromagnetic systems and their applications to metamaterial design and analysis. My broader goal is to improve predictive accuracy and computational efficiency in scientific and engineering applications.